Question

Jeannette is participating in a hot-dog-eating contest. She has already eaten 17 hot dogs but needs to eat more than 34 hot dogs to win. Jeannette is eating 2.9 hot dogs per minute. Which of the following inequalities could be used to solve for x, the number of minutes Jeannette needs to continue eating hot dogs to win the contest?

A 2.9x - 17 34
B. 2.9x 34
C. 29x + 17 ; 34
D. 2.9x ; 17

Answer 1

The correct inequality that could be used to solve for x, the number of minutes Jeannette needs to continue eating hot dogs to win the contest, is 2.9x > 34 (option B). Jeannette needs to continue eating hot dogs for more than 11.72 minutes to win the contest.

Step-by-step explanation:

The correct inequality that could be used to solve for x, the number of minutes Jeannette needs to continue eating hot dogs to win the contest, is 2.9x > 34 (option B).

To determine the number of minutes Jeannette needs to continue eating hot dogs, we can set up the inequality where 2.9x represents the number of hot dogs she can eat in x minutes. Since she needs to eat more than 34 hot dogs to win, we can write the inequality as 2.9x > 34.

To solve for x, we can divide both sides of the inequality by 2.9: x > 34/2.9. Using a calculator, we find that x > 11.72. Therefore, Jeannette needs to continue eating hot dogs for more than 11.72 minutes to win the contest.